Question : If the radius of the circle is 42 cm and the angle formed at the centre by an arc is 150°. What is the length of the corresponding area?
Option 1: 66 cm
Option 2: 77 cm
Option 3: 110 cm
Option 4: 55 cm
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 110 cm
Solution : The angle formed by the arc at the centre = 150° The radius of the circle ($r$) = 42 cm Length of the arc (l) = $2\pi r \times (\frac{\theta}{360°}$) Where, $\theta$ = Angle formed at the centre $r$ = Radius of circle Let the angle formed at the centre be $\theta$. l = $2\pi r \times (\frac{θ}{360}$) ⇒ l = $2\pi \times 42 \times (\frac{150}{360}$) ⇒ l = $2 \times (\frac{22}{7}) \times 42 \times (\frac{5}{12})$ $\therefore$ l = $110$ cm Hence, the correct answer is 110 cm.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : In a circle with centre O, arc CD subtends an angle of 60° at the centre of the circle whose radius is 21 cm. Calculate the length of the arc CD.
Question : The angle subtended by an arc at the circumference of the circle is 55°. Find the angle subtended by it at the centre.
Question : In a circle, an arc subtends an angle of 84° at the centre. If the length of the arc is 22 cm, then the radius of the circle (in cm) is equal to: Take $\pi=\frac{22}{7}$
Question : Find the length of the arc whose central angle is 45° and the radius of the circle is 28 cm.
Question : An arc of length $33 \pi\;\mathrm{cm}$ subtends an angle of $132^\circ$ at the centre of the circle. Find the radius of the circle.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile